What is the length of all the intervals

Reference no: EM13895818

1. Describe the bifurcations that the function F(x) = ax + x3 undergoes when a = 1 and a = -1.

2. a. In the Cantor middle-thirds set, list the 4 intervals of length 1/27 that are removed at the third stage of the construction.

b. What is the total length of all of the removed intervals in the first 3 stages of this construction?

c. What is the length of all the intervals that are removed at stage 4?

d. What is the formula for the length of all of the intervals removed at stage n?

e. Using an infinite series, add up the lengths of all removed intervals to determine the length of the Cantor set.

Reference no: EM13895818

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